The altitudes are perpendicular to the sides of the triangle based on the incenter theorem
I don't know how to explain this, but here are the answers.
21, 23, 25
23 would be the second.
Answer:
Below in bold.
Step-by-step explanation:
The surface area of the box
= x^2 + 4hx where x = a side of the square base and h is the height.
So x^2 + 4hx = 8
The volume of the box
V = x^2h
From the first equation we solve for h
4hx = 8 - x^2
h = (8 - x^2) / 4x
Now we substitute for h in the formula for the volume:
V = x^2 * (8 - x^2) / 4x
V = 8x^2 - x^4 / 4x
V = 2x - 0.25x^3
Finding the derivative:
V' = 2 - 0.75x^2 = 0 for max/mimn values
x^2 = 2/ 0.75 = 2.667
x = 1.633.
So the length and width of the base is 1.633 m and the height
= ( 8 - 2.667) / (4*1.633)
= 0.816 m
The maximum volume = 0.816 * 2.667 = 2.177 m^2.
The answers are correct to the nearest thousandth.
cube is a shape with all sides equal
where length - 1/3 inches
width - 1/3 inches
height - 1/3 inches
the formula to find volume is as follows
volume =
numerators should be multiplied by numerators and denominators by denominators
volume =
volume of the cube is 1/27 in.³
So it would be 1.2=X-0.4 and solve to get your answer. Output means the y-intercepts.